Faraday rotator

Last updated
Polarization mechanism due to the Faraday effect. The field lines are usually closed through a permanent magnet around the rotator. Faraday-effect.svg
Polarization mechanism due to the Faraday effect. The field lines are usually closed through a permanent magnet around the rotator.

A Faraday rotator is a polarization rotator based on the Faraday effect, a magneto-optic effect involving transmission of light through a material when a longitudinal static magnetic field is present. The state of polarization (such as the axis of linear polarization or the orientation of elliptical polarization) is rotated as the wave traverses the device, which is explained by a slight difference in the phase velocity between the left and right circular polarizations. Thus it is an example of circular birefringence, as is optical activity, but involves a material only having this property in the presence of a magnetic field.

Contents

Mechanism

Circular birefringence, involving a difference in propagation between opposite circular polarizations, is distinct from linear birefringence (or simply birefringence, when the term is not further specified) which also transforms a wave's polarization but not through a simple rotation.

The polarization state is rotated in proportion to the applied longitudinal magnetic field according to:

where is the angle of rotation (in radians), is the magnetic flux density in the direction of propagation (in teslas), is the length of the path (in metres) where the light and magnetic field interact, and is the Verdet constant for the material. This empirical proportionality constant (in units of radians per tesla per metre, rad/(T·m)) varies with wavelength and temperature [1] [2] [3] and is tabulated for various materials.

Faraday rotation is a rare example of non-reciprocal optical propagation. Although reciprocity is a basic tenet of electromagnetics, the apparent non-reciprocity in this case is a result of not considering the static magnetic field but only the resulting device. Unlike the rotation in an optically active medium such as a sugar solution, reflecting a polarized beam back through the same Faraday rotator does not undo the polarization change the beam underwent in its forward pass through the medium, but actually doubles it. Then by implementing a Faraday rotator with a rotation of 45°, inadvertent downstream reflections from a linearly polarized source will return with the polarization rotated by 90° and can be simply blocked by a polarizer; this is the basis of optical isolators used to prevent undesired reflections from disrupting an upstream optical system (particularly a laser).

The difference between Faraday rotation and other polarization rotation mechanisms is as follows. In an optically active medium, the polarization direction twists or rotates in the same sense (e.g. like a right-handed screw) for either direction, thus in the case of a plane reflection the original rotation is reversed, returning the incident beam to its original polarization. On the other hand, in a Faraday rotator, passage of light in opposite directions experience a magnetic field in opposite directions relative to the propagation direction, and since the rotation (relative to the direction of propagation) is determined by the magnetic field (see above equation), that rotation is opposite between the two propagating directions.

See also

Related Research Articles

<span class="mw-page-title-main">Optical rotation</span> Concept in enantioselective synthesis

Optical rotation, also known as polarization rotation or circular birefringence, is the rotation of the orientation of the plane of polarization about the optical axis of linearly polarized light as it travels through certain materials. Circular birefringence and circular dichroism are the manifestations of optical activity. Optical activity occurs only in chiral materials, those lacking microscopic mirror symmetry. Unlike other sources of birefringence which alter a beam's state of polarization, optical activity can be observed in fluids. This can include gases or solutions of chiral molecules such as sugars, molecules with helical secondary structure such as some proteins, and also chiral liquid crystals. It can also be observed in chiral solids such as certain crystals with a rotation between adjacent crystal planes or metamaterials.

<span class="mw-page-title-main">Circular polarization</span> Polarization state

In electrodynamics, circular polarization of an electromagnetic wave is a polarization state in which, at each point, the electromagnetic field of the wave has a constant magnitude and is rotating at a constant rate in a plane perpendicular to the direction of the wave.

A magneto-optic effect is any one of a number of phenomena in which an electromagnetic wave propagates through a medium that has been altered by the presence of a quasistatic magnetic field. In such a medium, which is also called gyrotropic or gyromagnetic, left- and right-rotating elliptical polarizations can propagate at different speeds, leading to a number of important phenomena. When light is transmitted through a layer of magneto-optic material, the result is called the Faraday effect: the plane of polarization can be rotated, forming a Faraday rotator. The results of reflection from a magneto-optic material are known as the magneto-optic Kerr effect.

<span class="mw-page-title-main">Optical isolator</span> Optical component allowing the transmission of light in only one direction

An optical isolator, or optical diode, is an optical component which allows the transmission of light in only one direction. It is typically used to prevent unwanted feedback into an optical oscillator, such as a laser cavity.

<span class="mw-page-title-main">Polarization (physics)</span> Property of waves that can oscillate with more than one orientation

Polarization is a property of transverse waves which specifies the geometrical orientation of the oscillations. In a transverse wave, the direction of the oscillation is perpendicular to the direction of motion of the wave. A simple example of a polarized transverse wave is vibrations traveling along a taut string (see image); for example, in a musical instrument like a guitar string. Depending on how the string is plucked, the vibrations can be in a vertical direction, horizontal direction, or at any angle perpendicular to the string. In contrast, in longitudinal waves, such as sound waves in a liquid or gas, the displacement of the particles in the oscillation is always in the direction of propagation, so these waves do not exhibit polarization. Transverse waves that exhibit polarization include electromagnetic waves such as light and radio waves, gravitational waves, and transverse sound waves in solids.

Circular dichroism (CD) is dichroism involving circularly polarized light, i.e., the differential absorption of left- and right-handed light. Left-hand circular (LHC) and right-hand circular (RHC) polarized light represent two possible spin angular momentum states for a photon, and so circular dichroism is also referred to as dichroism for spin angular momentum. This phenomenon was discovered by Jean-Baptiste Biot, Augustin Fresnel, and Aimé Cotton in the first half of the 19th century. Circular dichroism and circular birefringence are manifestations of optical activity. It is exhibited in the absorption bands of optically active chiral molecules. CD spectroscopy has a wide range of applications in many different fields. Most notably, UV CD is used to investigate the secondary structure of proteins. UV/Vis CD is used to investigate charge-transfer transitions. Near-infrared CD is used to investigate geometric and electronic structure by probing metal d→d transitions. Vibrational circular dichroism, which uses light from the infrared energy region, is used for structural studies of small organic molecules, and most recently proteins and DNA.

<span class="mw-page-title-main">Birefringence</span> Optical phenomenon

Birefringence is the optical property of a material having a refractive index that depends on the polarization and propagation direction of light. These optically anisotropic materials are said to be birefringent. The birefringence is often quantified as the maximum difference between refractive indices exhibited by the material. Crystals with non-cubic crystal structures are often birefringent, as are plastics under mechanical stress.

The Faraday effect or Faraday rotation, sometimes referred to as the magneto-optic Faraday effect (MOFE), is a physical magneto-optical phenomenon. The Faraday effect causes a polarization rotation which is proportional to the projection of the magnetic field along the direction of the light propagation. Formally, it is a special case of gyroelectromagnetism obtained when the dielectric permittivity tensor is diagonal. This effect occurs in most optically transparent dielectric materials under the influence of magnetic fields.

The Verdet constant is an optical property named after the French physicist Émile Verdet. It describes the strength of the Faraday effect for a particular material. For a constant magnetic field parallel to the path of the light, it can be calculated by:

<span class="mw-page-title-main">Polarimetry</span> Measurement and interpretation of the polarization of transverse waves

Polarimetry is the measurement and interpretation of the polarization of transverse waves, most notably electromagnetic waves, such as radio or light waves. Typically polarimetry is done on electromagnetic waves that have traveled through or have been reflected, refracted or diffracted by some material in order to characterize that object.

<span class="mw-page-title-main">Polarizer</span> Optical filter device

A polarizer or polariser is an optical filter that lets light waves of a specific polarization pass through while blocking light waves of other polarizations. It can filter a beam of light of undefined or mixed polarization into a beam of well-defined polarization, that is polarized light. The common types of polarizers are linear polarizers and circular polarizers. Polarizers are used in many optical techniques and instruments, and polarizing filters find applications in photography and LCD technology. Polarizers can also be made for other types of electromagnetic waves besides visible light, such as radio waves, microwaves, and X-rays.

Optical rotatory dispersion is the variation in the optical rotation of a substance with a change in the wavelength of light. Optical rotatory dispersion can be used to find the absolute configuration of metal complexes. For example, when plane-polarized white light from an overhead projector is passed through a cylinder of sucrose solution, a spiral rainbow is observed perpendicular to the cylinder.

<span class="mw-page-title-main">Yttrium iron garnet</span> Synthetic garnet

Yttrium iron garnet (YIG) is a kind of synthetic garnet, with chemical composition Y3Fe2(FeO4)3, or Y3Fe5O12. It is a ferrimagnetic material with a Curie temperature of 560 K. YIG may also be known as yttrium ferrite garnet, or as iron yttrium oxide or yttrium iron oxide, the latter two names usually associated with powdered forms.

A photoelastic modulator (PEM) is an optical device used to modulate the polarization of a light source. The photoelastic effect is used to change the birefringence of the optical element in the photoelastic modulator.

<span class="mw-page-title-main">Dysprosium(III) oxide</span> Chemical compound

Dysprosium oxide (Dy2O3) is a sesquioxide compound of the rare earth metal dysprosium. It is a pastel yellowish-greenish, slightly hygroscopic powder having specialized uses in ceramics, glass, phosphors, lasers, as a Faraday rotator and dysprosium metal halide lamps.

<span class="mw-page-title-main">Chiral media</span> Applied to electromagnetism

The term chiral describes an object, especially a molecule, which has or produces a non-superposable mirror image of itself. In chemistry, such a molecule is called an enantiomer or is said to exhibit chirality or enantiomerism. The term "chiral" comes from the Greek word for the human hand, which itself exhibits such non-superimposeability of the left hand precisely over the right. Due to the opposition of the fingers and thumbs, no matter how the two hands are oriented, it is impossible for both hands to exactly coincide. Helices, chiral characteristics (properties), chiral media, order, and symmetry all relate to the concept of left- and right-handedness.

<span class="mw-page-title-main">Polarization rotator</span> Optical device

A polarization rotator is an optical device that rotates the polarization axis of a linearly polarized light beam by an angle of choice. Such devices can be based on the Faraday effect, on birefringence, or on total internal reflection. Rotators of linearly polarized light have found widespread applications in modern optics since laser beams tend to be linearly polarized and it is often necessary to rotate the original polarization to its orthogonal alternative.

Terbium gallium garnet (TGG) is a kind of synthetic garnet, with the chemical composition Tb3Ga5O12. This is a Faraday rotator material with excellent transparency properties and is very resistant to laser damage. TGG can be used in optical isolators for laser systems, in optical circulators for fiber optic systems, in optical modulators, and in current and magnetic field sensors.

<span class="mw-page-title-main">Cerium(III) fluoride</span> Chemical compound

Cerium(III) fluoride (or cerium trifluoride), CeF3, is an ionic compound of the rare earth metal cerium and fluorine.

<span class="mw-page-title-main">Anisotropic terahertz microspectroscopy</span> Spectroscopic technique

Anisotropic terahertz microspectroscopy (ATM) is a spectroscopic technique in which molecular vibrations in an anisotropic material are probed with short pulses of terahertz radiation whose electric field is linearly polarized parallel to the surface of the material. The technique has been demonstrated in studies involving single crystal sucrose, fructose, oxalic acid, and molecular protein crystals in which the spatial orientation of molecular vibrations are of interest.

References

  1. Vojna, David; Slezák, Ondřej; Lucianetti, Antonio; Mocek, Tomáš (2019). "Verdet Constant of Magneto-Active Materials Developed for High-Power Faraday Devices". Applied Sciences. 9 (15): 3160. doi: 10.3390/app9153160 .
  2. Vojna, David; Slezák, Ondřej; Yasuhara, Ryo; Furuse, Hiroaki; Lucianetti, Antonio; Mocek, Tomáš (2020). "Faraday Rotation of Dy2O3, CeF3 and Y3Fe5O12 at the Mid-Infrared Wavelengths". Materials. 13 (23): 5324. Bibcode:2020Mate...13.5324V. doi: 10.3390/ma13235324 . PMC   7727863 . PMID   33255447.
  3. Vojna, David; Duda, Martin; Yasuhara, Ryo; Slezák, Ondřej; Schlichting, Wolfgang; Stevens, Kevin; Chen, Hengjun; Lucianetti, Antonio; Mocek, Tomáš (2020). "Verdet constant of potassium terbium fluoride crystal as a function of wavelength and temperature". Opt. Lett. 45 (7): 1683–1686. Bibcode:2020OptL...45.1683V. doi:10.1364/ol.387911. PMID   32235973. S2CID   213599420.